3/6 added to 1/6 in Fraction Form

The result of 3/6 added to 1/6 is: 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac36\) and \(\frac16\).

Step 2: Add the Numerators (Same Denominator)

Since the denominators are the same, we can directly add the numerators: 3 + 1 = 4

Step 3: Simplify the Fraction

We can simplify \(\frac46\) to its lowest form.
The greatest common divisor (GCD) of 4 and 6 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac23\).

Final Answer

The result of 3/6 added to 1/6 is:

\[ \frac{3}{6} + \frac{1}{6} = \frac23 \]

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (when denominators are different)

Or simply \( \frac{a}{b} + \frac{c}{b} = \frac{a + c}{b} \) (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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